ON SOME CONCEPTS OF POLYNOMIAL DICHOTOMY FOR LINEAR DISCRETE-TIME SYSTEMS IN BANACH SPACES

The aim of this paper is to present three concepts of nonuniform polynomial dichotomies for linear discrete systems and their correspondents in the uniform case. With the aid of particular discrete systems defined on infinite dimensional Banach spaces, we emphasize the connections between the presented concepts. The main result of the paper is given by a boundedness result of the dichotomic sequence of projections.